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INTERNATIONAL JOURNAL OF ISSN 1312-7586 (print) ISSN 1314-7544 (online) |
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Hyun-Chull Kim The Hajeck-Renyi inequality for weighted sums of negatively orthant dependent random variables Int. Journal of Contemp. Math. Sciences, Vol. 1, 2006, no. 5-8, 297 - 303 http://dx.doi.org/10.12988/ijcms.2006.06030 Copyright © 2006 Hyun-Chull Kim. This article is distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Cited by (11): Nguyen Tran Thuan and Nguyen Van Quang, Negative association and negative dependence for random upper semicontinuous functions, with applications, Journal of Multivariate Analysis, 2015 [CrossRef] Xuejun Wang, Shijie Wang and Shuhe Hu, Moment inequality of the minimum for nonnegative negatively orthant dependent random variables, Filomat, 28 (2014), no. 7, 1475-1481 [CrossRef] Xuejun Wang, Meimei Ge, Shuhe Hu and Xize Wang, The strong consistency of the estimator of fixed-design regression model under negatively dependent sequences, Abstract and Applied Analysis, 2013 (2013), 1-7 [CrossRef] Ma Songlin, Hajek-Renyi Type Inequalities and Strong Law of Large Numbers for NOD Sequences, Applied Mathematics & Information Sciences, 7 (2013), no. 6, 2519-2523 [CrossRef] Songlin Ma and Weicai Peng, Notice of Retraction Strong law of large numbers and growth rate for NOD sequences, 2013 International Conference on Quality, Reliability, Risk, Maintenance and Safety Engineering (QR2MSE), IEEE, 2013 [CrossRef] Aiting Shen, On the strong convergence rate for weighted sums of arrays of rowwise negatively orthant dependent random variables, Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales, Serie A. Matematicas, 107 (2013), no. 2, 257-271 [CrossRef] Nguyen Van Huan and Nguyen Van Quang, The Doob inequality and strong law of large numbers for multidimensional arrays in general Banach spaces, Kybernetika, 48 (2012), no. 2, 254-267 [View at Publisher] Xuejun Wang, Shuhe Hu and Wenzhi Yang, Complete convergence for arrays of rowwise negatively orthant dependent random variables, Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales, Serie A. Matematicas, 106 (2011), no. 2, 235-245 [CrossRef] Guodong Xing and Shanchao Yang, Exponential inequality for a class of NOD random variables and its application, Wuhan University Journal of Natural Sciences, 16 (2011), no. 1, 7-10 [CrossRef] Xuejun Wang, Shuhe Hu, Aiting Shen et al., An exponential inequality for a NOD sequence and a strong law of large numbers, Applied Mathematics Letters, 24 (2011), no. 2, 219-223 [CrossRef] Xuejun Wang, Shuhe Hu and Andrei I. Volodin, Strong limit theorems for weighted sums of NOD sequence and exponential inequalities, Bulletin of the Korean Mathematical Society, 48 (2011), no. 5, 923-938 [CrossRef]
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